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%TCIDATA{Created=Tue Jun 08 12:28:12 2004}
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\newtheorem{theorem}{Theorem}
\newtheorem{acknowledgement}[theorem]{Acknowledgement}
\newtheorem{algorithm}[theorem]{Algorithm}
\newtheorem{axiom}[theorem]{Axiom}
\newtheorem{case}[theorem]{Case}
\newtheorem{claim}[theorem]{Claim}
\newtheorem{conclusion}[theorem]{Conclusion}
\newtheorem{condition}[theorem]{Condition}
\newtheorem{conjecture}[theorem]{Conjecture}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{criterion}[theorem]{Criterion}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{example}[theorem]{Example}
\newtheorem{exercise}[theorem]{Exercise}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{notation}[theorem]{Notation}
\newtheorem{problem}[theorem]{Problem}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{remark}[theorem]{Remark}
\newtheorem{solution}[theorem]{Solution}
\newtheorem{summary}[theorem]{Summary}
\newenvironment{proof}[1][Proof]{\textbf{#1.} }{\ \rule{0.5em}{0.5em}}
\begin{document}
El conjunto soluci\'{o}n de la desigualdad $\dfrac{\left(  x^{2}-1\right)
\left(  3x+2\right)  }{5x-1}>0$ es,\medskip\newline\qquad a)\textbf{\ }%
$\left\{  x<-1\right\}  ,\left\{  -\dfrac{2}{3}<x<\dfrac{1}{5}\right\}
,\left\{  1<x\right\}  \qquad$b) $\left\{  x<-1\right\}  ,\left\{  -\dfrac
{1}{3}<x<\dfrac{2}{5}\right\}  ,\left\{  1<x\right\}  \medskip$\newline\qquad
c)$\left\{  x<-1\right\}  ,\left\{  -\dfrac{2}{7}<x<\dfrac{1}{5}\right\}
,\left\{  1<x\right\}  \qquad\ $d) $\left\{  x<-2\right\}  ,\left\{
-\dfrac{2}{3}<x<\dfrac{1}{5}\right\}  ,\left\{  1<x\right\}  $

El conjunto soluci\'{o}n de la desigualdad $\dfrac{\left(  x^{2}-4\right)
\left(  3x+1\right)  }{x-1}>0$ es,\medskip\newline a)\textbf{\ }$\left\{
x<-2\right\}  ,\left\{  -\dfrac{1}{3}<x<1\right\}  ,\left\{  2<x\right\}
\qquad$b) $\left\{  x<-2\right\}  ,\left\{  -\dfrac{1}{3}<x<1\right\}
,\left\{  1<x\right\}  $\medskip\newline c)$\left\{  x<-2\right\}  ,\left\{
-2<x<-\dfrac{1}{3}\right\}  ,\left\{  2<x\right\}  \qquad\ $d) $\left\{
x<-2\right\}  ,\left\{  -2<x<-\dfrac{1}{3}\right\}  ,\left\{  -\dfrac{1}%
{3}<x\right\}  $

El conjunto soluci\'{o}n de la desigualdad $\dfrac{\left(  x^{2}-1\right)
\left(  x+1\right)  }{x-1}>0$ es,\medskip\newline\qquad a)\textbf{\ }$\left\{
x:x\neq-1\right\}  \qquad$b) $\left\{  x<-1\right\}  ,\left\{  -1<x<1\right\}
,\left\{  1<x\right\}  \medskip$\newline\qquad c)$\left\{  x<-1\right\}
,\left\{  -1<x<-1\right\}  ,\left\{  2<x\right\}  \qquad\ $d) $\left\{
x<-2\right\}  ,\left\{  -2<x<-1\right\}  ,\left\{  -1<x\right\}  $

El conjunto soluci\'{o}n de la desigualdad $\dfrac{\left(  x^{2}-1\right)
\left(  x+1\right)  }{x+2}>0$ es,\medskip\newline\qquad a)\textbf{\ }$\left\{
x<-2\right\}  ,\left\{  1<x\right\}  \qquad$b) $\left\{  x<-1\right\}
,\left\{  2<x\right\}  \medskip$\newline\qquad c)$\left\{  x<-2\right\}
,\left\{  -1<x\right\}  \qquad\ $d) $\left\{  x<1\right\}  ,\left\{
2<x\right\}  $

El conjunto soluci\'{o}n de la desigualdad $\dfrac{\left(  x-1\right)  \left(
x+1\right)  }{x^{2}-1}>0$ es,\medskip\newline\qquad a)\textbf{\ }Todos los
reales$\qquad\qquad$b) $\left\{  x:x\neq1\right\}  \medskip$\newline\qquad
c)$\left\{  x:x\neq1\text{ \ }y\text{ \ }x\neq-1\right\}  \qquad\ $d)
$\left\{  x<-1\right\}  ,\left\{  1<x\right\}  $

El conjunto soluci\'{o}n de la desigualdad $\dfrac{\left(  x^{2}-9\right)
\left(  x+3\right)  }{x-2}\leq0$ es, \newline\qquad\medskip a) $\left\{
2<x\leq3\right\}  .\{x=-3\}$\qquad b) $\left\{  x\leq-3\right\}  ,\left\{
2<x\right\}  $\newline\qquad c) \textbf{\ }$\left\{  x<-2\right\}  ,\left\{
3<x\right\}  $\qquad d) $\left\{  x<2\right\}  ,\left\{  3<x\right\}  $

El conjunto soluci\'{o}n de la desigualdad $\dfrac{\left(  x^{2}-16\right)
\left(  x-4\right)  }{x-2}\geq0$ es, \newline\qquad\medskip a) $\left\{
x\leq-4\right\}  ,\left\{  2<x\right\}  $\qquad b) $\left\{  x\geq-4\right\}
,\left\{  2>x\right\}  $\newline\qquad c) \textbf{\ }$\left\{  x>2\right\}
,\left\{  -4\leq x\right\}  $\qquad d) $\left\{  x<2\right\}  ,\left\{  -4\geq
x\right\}  $

El conjunto soluci\'{o}n de la desigualdad $\dfrac{\left(  x^{2}-25\right)
\left(  x+5\right)  }{x-3}>0$ es, \newline\qquad\medskip a) $\left\{
-5<x<3\right\}  ,\left\{  5<x\right\}  ,\left\{  x<-5\right\}  $\qquad b)
$\left\{  5<x\right\}  ,\left\{  x<-5\right\}  $\newline\qquad c) $\left\{
-5<x<3\right\}  $\textbf{\ }\qquad d) $\left\{  x<5\right\}  ,\left\{
-5<x\right\}  $

El conjunto soluci\'{o}n de la desigualdad $\dfrac{\left(  x^{2}-16\right)
\left(  x+4\right)  }{x-1}<0$ es, \newline\qquad\medskip a) $\left\{
1<x<4\right\}  $\qquad b) $\left\{  x<-4\right\}  ,\left\{  -1<x\right\}
$\newline\qquad c) \textbf{\ }$\left\{  x<-4\right\}  ,\left\{  1<x\right\}
$\qquad d) $\left\{  x<1\right\}  ,\left\{  x>4\right\}  $

El conjunto soluci\'{o}n de la desigualdad $\dfrac{\left(  x^{2}-4\right)
\left(  x+2\right)  }{x-3}\leq0$ es, \newline\qquad\medskip a) $\left\{  2\leq
x<3\right\}  ,\{x=-2\}$ \ \ \ b) $\left\{  x<3\right\}  ,\left\{  -2\leq
x\right\}  $\newline\qquad c) \textbf{\ }$\left\{  -3<x\leq-2\right\}
,\left\{  3<x\right\}  $\qquad d) $\left\{  x<3\right\}  ,\left\{  2\leq
x\right\}  $

El conjunto soluci\'{o}n de la desigualdad $\dfrac{\left(  x^{2}-36\right)
\left(  x+6\right)  }{x-2}\geq0$ es, \newline\qquad\medskip a) $\left\{
x<2\right\}  ,\left\{  6\leq x\right\}  $\qquad b) $\left\{  x\leq2\right\}
,\left\{  -6<x\right\}  $\newline\qquad c) \textbf{\ }$\left\{  x<-2\right\}
,\left\{  6<x\right\}  $\qquad d) $\left\{  x\leq-6\right\}  ,\left\{
2<x\right\}  $

El conjunto soluci\'{o}n de la desigualdad $\dfrac{\left(  x^{2}-9\right)
\left(  x-3\right)  }{x-5}<0$ es, \newline\qquad\medskip a) $\left\{
-3<x<3\right\}  ,\left\{  3<x<5\right\}  $\qquad b) $\left\{  -3<x<1\right\}
,\left\{  5<x\right\}  $\newline\qquad c) $\left\{  x<-3\right\}  ,\left\{
-3<x\leq3\right\}  ,\left\{  5<x\right\}  $\textbf{\ }\qquad d) $\left\{
x<3\right\}  ,\left\{  3<x\right\}  $

El conjunto soluci\'{o}n de la desigualdad $\dfrac{\left(  x^{2}-4\right)
\left(  x-2\right)  }{x-7}>0$ es, \newline\qquad\medskip a) $\left\{
x<-2\right\}  ,\left\{  7<x\right\}  $\qquad b) $\left\{  x<2\right\}
,\left\{  7<x\right\}  $\newline\qquad c) \textbf{\ }$\left\{  x<-2\right\}
,\left\{  2<x\right\}  $\qquad d) $\left\{  x<-7\right\}  ,\left\{
2<x\right\}  $

El conjunto soluci\'{o}n de la desigualdad $\dfrac{\left(  x^{2}-25\right)
\left(  x-5\right)  }{x-13}\leq0$ es, \newline\qquad\medskip a) $\left\{
-5\leq x<13\right\}  $\qquad b) $\left\{  -13<x<-5\right\}  $\newline\qquad c)
\textbf{\ }$\left\{  x<5\right\}  ,\left\{  13<x\right\}  $\qquad d) $\left\{
x<-5\right\}  ,\left\{  13<x\right\}  $

El conjunto soluci\'{o}n de la desigualdad $\dfrac{\left(  x^{2}-4\right)
\left(  x-2\right)  }{x-16}\geq0$ es, \newline\qquad\medskip a) $\left\{
x=2\right\}  ,\left\{  x<-2\right\}  ,\left\{  16<x\right\}  $\qquad b)
$\left\{  x<16\right\}  ,\left\{  2\leq x\right\}  $\newline\qquad c)
\textbf{\ }$\left\{  x<16\right\}  ,\left\{  -2<x\right\}  $\qquad d)
$\left\{  x>-2\right\}  ,\left\{  16<x\right\}  $


\end{document}